Covariate-adjusted construction of gene regulatory networks using a combination of generalized linear model and penalized maximum likelihood.

Many machine learning techniques have been used to construct gene regulatory networks (GRNs) through precision matrix that considers conditional independence among genes, and finally produces sparse version of GRNs. This construction can be improved using the auxiliary information like gene expressi...

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Main Authors: Omid Chatrabgoun, Alireza Daneshkhah, Parisa Torkaman, Mark Johnston, Nader Sohrabi Safa, Ali Kashif Bashir
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2025-01-01
Series:PLoS ONE
Online Access:https://doi.org/10.1371/journal.pone.0309556
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author Omid Chatrabgoun
Alireza Daneshkhah
Parisa Torkaman
Mark Johnston
Nader Sohrabi Safa
Ali Kashif Bashir
author_facet Omid Chatrabgoun
Alireza Daneshkhah
Parisa Torkaman
Mark Johnston
Nader Sohrabi Safa
Ali Kashif Bashir
author_sort Omid Chatrabgoun
collection DOAJ
description Many machine learning techniques have been used to construct gene regulatory networks (GRNs) through precision matrix that considers conditional independence among genes, and finally produces sparse version of GRNs. This construction can be improved using the auxiliary information like gene expression profile of the related species or gene markers. To reach out this goal, we apply a generalized linear model (GLM) in first step and later a penalized maximum likelihood to construct the gene regulatory network using Glasso technique for the residuals of a multi-level multivariate GLM among the gene expressions of one species as a multi-levels response variable and the gene expression of related species as a multivariate covariates. By considering the intrinsic property of the gene data which the number of variables is much greater than the number of available samples, a bootstrap version of multi-response multivariate GLM is used. To find most appropriate related species, a cross-validation technique has been used to compute the minimum square error of the fitted GLM under different regularization. The penalized maximum likelihood under a lasso or elastic net penalty is applied on the residual of fitted GLM to find the sparse precision matrix. Finally, we show that the presented algorithm which is a combination of fitted GLM and applying the penalized maximum likelihood on the residual of the model is extremely fast, and can exploit sparsity in the constructed GRNs. Also, we exhibit flexibility of the proposed method presented in this paper by comparing with the other methods to demonstrate the super validity of our approach.
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spelling doaj-art-ea21bbd63d1a407d92723e4be5fcad922025-02-07T05:30:51ZengPublic Library of Science (PLoS)PLoS ONE1932-62032025-01-01201e030955610.1371/journal.pone.0309556Covariate-adjusted construction of gene regulatory networks using a combination of generalized linear model and penalized maximum likelihood.Omid ChatrabgounAlireza DaneshkhahParisa TorkamanMark JohnstonNader Sohrabi SafaAli Kashif BashirMany machine learning techniques have been used to construct gene regulatory networks (GRNs) through precision matrix that considers conditional independence among genes, and finally produces sparse version of GRNs. This construction can be improved using the auxiliary information like gene expression profile of the related species or gene markers. To reach out this goal, we apply a generalized linear model (GLM) in first step and later a penalized maximum likelihood to construct the gene regulatory network using Glasso technique for the residuals of a multi-level multivariate GLM among the gene expressions of one species as a multi-levels response variable and the gene expression of related species as a multivariate covariates. By considering the intrinsic property of the gene data which the number of variables is much greater than the number of available samples, a bootstrap version of multi-response multivariate GLM is used. To find most appropriate related species, a cross-validation technique has been used to compute the minimum square error of the fitted GLM under different regularization. The penalized maximum likelihood under a lasso or elastic net penalty is applied on the residual of fitted GLM to find the sparse precision matrix. Finally, we show that the presented algorithm which is a combination of fitted GLM and applying the penalized maximum likelihood on the residual of the model is extremely fast, and can exploit sparsity in the constructed GRNs. Also, we exhibit flexibility of the proposed method presented in this paper by comparing with the other methods to demonstrate the super validity of our approach.https://doi.org/10.1371/journal.pone.0309556
spellingShingle Omid Chatrabgoun
Alireza Daneshkhah
Parisa Torkaman
Mark Johnston
Nader Sohrabi Safa
Ali Kashif Bashir
Covariate-adjusted construction of gene regulatory networks using a combination of generalized linear model and penalized maximum likelihood.
PLoS ONE
title Covariate-adjusted construction of gene regulatory networks using a combination of generalized linear model and penalized maximum likelihood.
title_full Covariate-adjusted construction of gene regulatory networks using a combination of generalized linear model and penalized maximum likelihood.
title_fullStr Covariate-adjusted construction of gene regulatory networks using a combination of generalized linear model and penalized maximum likelihood.
title_full_unstemmed Covariate-adjusted construction of gene regulatory networks using a combination of generalized linear model and penalized maximum likelihood.
title_short Covariate-adjusted construction of gene regulatory networks using a combination of generalized linear model and penalized maximum likelihood.
title_sort covariate adjusted construction of gene regulatory networks using a combination of generalized linear model and penalized maximum likelihood
url https://doi.org/10.1371/journal.pone.0309556
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